Algebra-1

Question Analysis
This question tests the ability to find the equation of a line that is perpendicular to a given line and passes through a specific point. The given line has a slope of , and the slope of a line perpendicular to it will be the negative reciprocal, which is 2. Using the point-slope form, we can find the equation of the new line.

Key Concept Explanation
Perpendicular lines intersect at a right angle, and the product of their slopes is -1. The slope of a line perpendicular to another line is the negative reciprocal of the original line's slope. The equation of a line in point-slope form is , where is the slope and is a point on the line.

Step-by-step Solution
1. Identify the slope of the given line: . The slope is .
2. Find the negative reciprocal of the slope: 2.
3. Use the point-slope form of the line equation:

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